Home
Class 12
PHYSICS
A steel cylindrical rod of length l and ...

A steel cylindrical rod of length `l` and radius `r` is suspended by its end from the ceiling.
(a) Find the elastic deformation energy U of the rod.
(b) Define U in terms of tensile strain `Deltal//l` of the rod.

A

`2/3pir^3lE((Deltal)/(l))^2`

B

`1/3 pir^3lE((Deltal)/(l))^2`

C

`2/3pir^2lE((Deltal)/(l))^2`

D

`4/3 pir^3lE((Deltal)/(l))^2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY

    TARGET PUBLICATION|Exercise Competitive Thinking|69 Videos

  • CURRENT ELECTRICITY

    TARGET PUBLICATION|Exercise Evaluation Test|6 Videos

  • ELECTROMAGNETIC INDUCTION

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos

Similar Questions

Explore conceptually related problems

Find the elastic deformation energy of a steel rod of mass m=3.1kg stretched to a tensile strain epsilon=1.0*10^-3 .

There is a rod of length l and mass m . It is hinged at one end to the ceiling. The period of small oscillation is

A copper rod of length l is suspended from the ceiling by one of its ends. Find: (a) the elongation Deltal of the rod due to its own weight , (b) the relative increment of its volume DeltaV//V .

A uniform thin rod of length l is suspended from one of its ends and is rotated at f rotations per second. The rotational kinetic energy of the rod will be

A copper rod length L and radius r is suspended from the ceiling by one of its ends. What will be elongation of the rod due to its own weight when and Y are the density and Young's modulus of the copper respectively?

A rod of length l slides with its ends on two perpendicular lines.Find the locus of its midpoint.

A cylindrical rod of mass M , length L and radius R has two cords wound around it whose ends are attached to the ceiling. The rod is held horizontally with the two cords vertical. When the rod is released, the cords unwind and the rod rotates the linear acceleration of the cylinder as it falls, is : .

A cylindrical copper rod has length L and resistance R. If it is melted and formed into another rod of length 2L, the resistance will be

A uniform rod of length l is suspended by end and is made to undego small oscillations. Find the length of the simple pendulum having the time period equal to that of the rod.